In this article, the work in [1]}, [2]}, [3]}, [4]} on average energy and Poynting power densities for random fields near a PEC boundary is extended to cover corresponding standard deviations. A time-harmonic dependence \(\exp ({\rm j}\omega t)\)  is assumed and suppressed. To simplify notation, the argument of all spherical Bessel functions will be dropped, i.e., \(j_\ell \equiv j_\ell (2kz)\)  for \(\ell =0,1,2\) , which are hence always evaluated at \(2kz\) .
